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Extending Modelling Activity Diagrams as a tool to characterise mathematical modelling processes
Universitat Autònoma de Barcelona.
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0001-5013-8890
Universitat Autònoma de Barcelona.
Universitat Autònoma de Barcelona.
2019 (English)In: The Montana Mathematics Enthusiast, ISSN 1551-3440, E-ISSN 1551-3440, Vol. 16, no 1-2, article id 10Article in journal (Refereed) Accepted
Abstract [en]

In this paper, we present a qualitative study in which we analyse the video-recordings of four groups of students solving Fermi Problems. Previous studies show that Secondary School students solve this type of problems using complex problem solving processes and developing mathematical models. In order to analyse the students’ problem solving processes, so-called Modelling Activity Diagrams were used. The results of the present study demonstrate that solving Fermi problems is a complex matter, and that some of the theoretical tools used in the field of Mathematical Education fail to adequately reflect this level of complexity. In addition, Modelling Activity Diagrams are presented as a more detailed analysis tool to characterise student choices and actions, as well as to make the structure of the Fermi problem addressed more visible.

Place, publisher, year, edition, pages
Missoula, United States: Montana Council of Teachers of Mathematics , 2019. Vol. 16, no 1-2, article id 10
Keywords [en]
Mathematical modelling, Modelling Activity Diagrams, Fermi problems, Secondary School
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Didactics
Identifiers
URN: urn:nbn:se:liu:diva-150892OAI: oai:DiVA.org:liu-150892DiVA, id: diva2:1244956
Available from: 2018-09-03 Created: 2018-09-03 Last updated: 2018-09-12Bibliographically approved

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Bergman Ärlebäck, Jonas

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